2158531600 has 135 divisors (see below), whose sum is σ = 5475354199. Its totient is φ = 817696000.

The previous prime is 2158531547. The next prime is 2158531621. The reversal of 2158531600 is 61358512.

The square root of 2158531600 is 46460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 398561296 + 1759970304 = 19964^2 + 41952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21371550 + ... + 21371650.

Almost surely, 2^2158531600 is an apocalyptic number.

2158531600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2158531600 is the 46460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158531600

2158531600 is an abundant number, since it is smaller than the sum of its proper divisors (3316822599).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2158531600 is a wasteful number, since it uses less digits than its factorization.

2158531600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The cubic root of 2158531600 is about 1292.3678242922.

The spelling of 2158531600 in words is "two billion, one hundred fifty-eight million, five hundred thirty-one thousand, six hundred".